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Finding the Third Proportional to 3,729,549,072,497 and 8,115,825,533,767

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Solution

The third proportional to 3,729,549,072,497 and 8,115,825,533,767 is: 17,660,747,402,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729,549,072,497 : 8,115,825,533,767 = 8,115,825,533,767 : x
  2. Step 2: Convert to fraction form
    3,729,549,072,497/8,115,825,533,767 = 8,115,825,533,767/x
  3. Step 3: Cross multiply
    3,729,549,072,497x = 8,115,825,533,767 × 8,115,825,533,767
  4. Step 4: Simplify right side
    3,729,549,072,497x = 65,866,624,094,544,406,450,798,592
  5. Step 5: Solve for x
    x = 65,866,624,094,544,406,450,798,592/3,729,549,072,497
  6. Step 6: Final answer
    x = 17,660,747,402,485.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.